What is the solution for (dy)/(dx)+2xy-y=0,y(0)=4 ?

The solution for (dy)/(dx)+2xy-y=0,y(0)=4 is y=4e^{-x^2+x}

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(dy)/(dx)+2xy-y=0,y(0)=4

\frac{d y}{d x} + 2 x y - y = 0, y (0) = 4

y = 4 e^{- x^{2} + x}

Solution steps

\frac{d y}{d x} + 2 x y - y = 0

Solve separable ODE:

y = 4 e^{- x^{2} + x}

y = 4 e^{- x^{2} + x}

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y^{^{'}} = y^{3} - 6 x^{2} y^{3}, y (1) = - \frac{1}{2}

x \to 1 lim (\frac{x ^{2} + 1}{x + 1})

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What is the solution for (dy)/(dx)+2xy-y=0,y(0)=4 ?
The solution for (dy)/(dx)+2xy-y=0,y(0)=4 is y=4e^{-x^2+x}